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1022131213 is a prime number
BaseRepresentation
bin111100111011000…
…111110000001101
32122020022122102121
4330323013300031
54043131144323
6245231452541
734220654245
oct7473076015
92566278377
101022131213
11484a6a344
12246387151
131339b868c
1499a6cb25
155eb03a5d
hex3cec7c0d

1022131213 has 2 divisors, whose sum is σ = 1022131214. Its totient is φ = 1022131212.

The previous prime is 1022131183. The next prime is 1022131219. The reversal of 1022131213 is 3121312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 889351684 + 132779529 = 29822^2 + 11523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022131213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022131219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511065606 + 511065607.

It is an arithmetic number, because the mean of its divisors is an integer number (511065607).

Almost surely, 21022131213 is an apocalyptic number.

It is an amenable number.

1022131213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022131213 is an equidigital number, since it uses as much as digits as its factorization.

1022131213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1022131213 is about 31970.7868686399. The cubic root of 1022131213 is about 1007.3233092236.

Adding to 1022131213 its reverse (3121312201), we get a palindrome (4143443414).

The spelling of 1022131213 in words is "one billion, twenty-two million, one hundred thirty-one thousand, two hundred thirteen".